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Finding the Fourth Proportional to 2,675.40, 3,679.02 and 2,380.20

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Solution

The fourth proportional to 2,675.40, 3,679.02 and 2,380.20 is: 3,273.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.40 : 3,679.02 = 2,380.20 : x
  2. Step 2: Convert to fraction form
    2,675.40/3,679.02 = 2,380.20/x
  3. Step 3: Cross multiply
    2,675.40x = 3,679.02 × 2,380.20
  4. Step 4: Simplify right side
    2,675.40x = 8,756,803.40
  5. Step 5: Solve for x
    x = 8,756,803.40/2,675.40
  6. Step 6: Final answer
    x = 3,273.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.